Last year, a ProPublica investigation uncovered how Rudy Giuliani, together with upstate Republicans and the real-estate industry, maneuvered behind the scenes in 1995 to exempt downtown Manhattan apartments from rent stabilization rules.

Legislation introduced in City Council on Wednesday would require the city’s housing arm to audit 20 percent of buildings receiving the benefit. Violators would have to return the money.

A new ProPublica analysis shows that two-thirds of more than 6,000 rental properties receiving tax benefits from the city’s 421-a program don’t have approved applications on file and most haven’t registered apartments for rent stabilization as required by law. That allows owners to raise rents as much as they want.

Search for your building to see if your landlord has been approved for the program and registered your building for rent stabilization, as required by law. If not, you may be paying more than you should.

Tenants have sued a Lower Manhattan developer, saying their leases should have been rent-stabilized in exchange for the tax breaks their landlord received. State and local officials have now filed a brief supporting the tenants, whose case could affect thousands of rental units.

The city’s Department of Housing Preservation and Development is flouting a rent-reporting requirement for apartments built under the city’s single biggest housing tax break. Mayor Bill de Blasio doesn’t seem to mind.

Tenants overcharged by landlords who received property tax breaks shouldn’t expect much help from state regulators. Many are opting to go to court and, so far, they are winning big.

Due to an error by state officials, rent limits on tens of thousands of New York City apartments were improperly removed. Now, 20 years later, the state is relying on landlords to fix that problem. What could go wrong?

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